The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  X  0  X  2  X  X  X  2  1  1  1  1  1  1  1  1  X  X  X  X  2  0  0  X  X  1  1  1  1  1  1  X  1
 0  X  0 X+2  2 X+2  2  X  0 X+2  0 X+2  2  X  2  X X+2  X X+2  X  X  X  0  2  X  X  0  2  0  2 X+2  X X+2  X  0  2 X+2 X+2  0  2  2  0  2  0 X+2  2  X  0 X+2  0  2
 0  0  2  2  2  0  0  2  0  0  2  2  2  2  0  0  0  2  2  0  2  0  2  2  0  2  0  0  2  2  0  0  2  2  0  0  0  2  2  2  0  2  2  0  0  0  0  2  2  0  2

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+25x^50+12x^51+11x^52+2x^53+6x^54+4x^56+2x^57+1x^62

The gray image is a code over GF(2) with n=204, k=6 and d=100.
This code was found by Heurico 1.16 in 0.0594 seconds.